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Finding the Third Proportional to 208,437,160.50 and 445,499,235

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Solution

The third proportional to 208,437,160.50 and 445,499,235 is: 952,179,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,437,160.50 : 445,499,235 = 445,499,235 : x
  2. Step 2: Convert to fraction form
    208,437,160.50/445,499,235 = 445,499,235/x
  3. Step 3: Cross multiply
    208,437,160.50x = 445,499,235 × 445,499,235
  4. Step 4: Simplify right side
    208,437,160.50x = 198,469,568,385,585,216
  5. Step 5: Solve for x
    x = 198,469,568,385,585,216/208,437,160.50
  6. Step 6: Final answer
    x = 952,179,390.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.